A Quote by Kate Bush
There are a lot of very strong connections with music and mathematics. They both can work in patterns and sequences and repetitions.
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Though the structures and patterns of mathematics reflect the structure of, and resonate in, the human mind every bit as much as do the structures and patterns of music, human beings have developed no mathematical equivalent to a pair of ears. Mathematics can only be "seen" with the "eyes of the mind". It is as if we had no sense of hearing, so that only someone able to sight read music would be able to appreciate its patterns and harmonies.
All mathematics is is a language that is well tuned, finely honed, to describe patterns; be it patterns in a star, which has five points that are regularly arranged, be it patterns in numbers like 2, 4, 6, 8, 10 that follow very regular progression.
May not music be described as the mathematics of the sense, mathematics as music of the reason? The musician feels mathematics, the mathematician thinks music: music the dream, mathematics the working life.
I see a lot of connections between folk and punk music just because they're both subcorporate music - I mean, traditionally.
I don't want to convince you that mathematics is useful. It is, but utility is not the only criterion for value to humanity. Above all, I want to convince you that mathematics is beautiful, surprising, enjoyable, and interesting. In fact, mathematics is the closest that we humans get to true magic. How else to describe the patterns in our heads that - by some mysterious agency - capture patterns of the universe around us? Mathematics connects ideas that otherwise seem totally unrelated, revealing deep similarities that subsequently show up in nature.
Some people think that mathematics is a serious business that must always be cold and dry; but we think mathematics is fun, and we aren't ashamed to admit the fact. Why should a strict boundary line be drawn between work and play? Concrete mathematics is full of appealing patterns; the manipulations are not always easy, but the answers can be astonishingly attractive.
I personally feel that there's a lot of music journalism that is dominated by genre, because you need a language in which to write, but actually the things that strike people about music, are very hard to write about, and its sonic connections, it's a sense of harmony that I think we all have even if we don't know how to express it - it's something musical, it's synapse connections in our brain.
In fact, the answer to the question "What is mathematics?" has changed several times during the course of history... It was only in the last twenty years or so that a definition of mathematics emerged on which most mathematicians agree: mathematics is the science of patterns.
Mathematics is often defined as the science of space and number . . . it was not until the recent resonance of computers and mathematics that a more apt definition became fully evident: mathematics is the science of patterns.
There are only patterns. Patterns on top of patterns, patterns that affect other patterns, patterns hidden by patterns, patterns within patterns.
There are only patterns, patterns on top of patterns, patterns that affect other patterns. Patterns hidden by patterns. Patterns within patterns. If you watch close, history does nothing but repeat itself. What we call chaos is just patterns we haven't recognized. What we call random is just patterns we can't decipher. what we can't understand we call nonsense. What we can't read we call gibberish. There is no free will. There are no variables.
Partial repetitions is another technique that I used -- sparingly. I was always a fan of doing full repetitions on every set. However, at the very end of a set where you cannot do any more, and especially if you don't have a training partner, the partial repetitions are good for eking out a little bit more out of the exercise.
A surprising proportion of mathematicians are accomplished musicians. Is it because music and mathematics share patterns that are beautiful?
As a songwriter, pop music really is a love and a joy and a science, and I feel like a lot of people look at pop music with a very formulaic perspective in numbers and patterns, but an outsider would think that the process is very natural.
There's something mathematically satisfying about music: notes fit together and harmony and all that. And mathematics has to do with abstractions and making connections.
There are a lot of similarities between music and surfing. There's a rhythm to both of them and with sound waves and ocean waves, you see patterns, plus the breathing is all part of it.
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